Question

the sum of the digits of a two digit number is 7. If the no. formed by reversing the digit is less than the orignal number by 27, find the orignal no. .

Answer 1

let x and y be tens and unit digit
number is then 10x + y
reverse number will be 10y +x
now given
10y+x=10x+y -27
x-y=3
sum of digits =x+y=7
adding these
2x=10
x=5
y=2
no. =10x +y =52